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Nonexpanding impulsive gravitational waves with an arbitrary cosmological constant

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preprint
posted on 15.02.2006, 13:15 by J. Podolsky, Jerry Griffiths
Exact solutions for nonexpanding impulsive waves in a background with nonzero cosmological constant are constructed using a 'cut and paste' method. These solutions are presented using a unified approach which covers the cases of de Sitter, anti-de Sitter and Minkowski backgrounds. The metrics are presented in continuous and distributional forms, both of which are conformal to the corresponding metrics for impulsive pp-waves, and for which the limit as Lambda-->0 can be made explicitly.

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  • Science

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  • Mathematical Sciences

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97265 bytes

Publication date

1999

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This is a pre-print. The definitive version: PODOLSKY, J. and GRIFFITHS, J.B., 1999. Nonexpanding impulsive gravitational waves with an arbitrary cosmological constant. Physics Letters A, 261(1-2), pp.1-4, is available at: http://www.sciencedirect.com/science/journal/03759601.

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